1.
Item 2. If \(f(x)=-2x^2-3\), evaluate \(f(-3)\).
Solution:\(f(-3)=-2(-3)^2-3=-2(9)-3=-18-3=-21\).Answer: C
2.
Item 1. Categorize the following graph based on the parity (odd or even) of its degree.
Solution:The graph has opposite end behaviour, so it is an odd-degree polynomial.Answer: D
3.
Item 3. If \(x-3\) replaces \(x\) in \(f(x)\), then the graph of \(f(x-3)\) is:
Solution:Replacing \(x\) by \(x-3\) shifts the graph right 3 units.Answer: C
4.
Item 4. Write the equation of the graph after it has been expanded vertically by a factor of 4 from the original graph of \(y=(x-11)^3\).
Solution:Multiply all y-values by 4.New equation: \(y=4(x-11)^3\).Answer: D
5.
Item 5. How is the graph of \(5y=|x|\) related to the graph of \(y=|x|\)?
Solution:\(5y=|x|\Rightarrow y=\frac15|x|\), a vertical compression by \(\frac15\).Answer: B
1 out of 1
